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Galton’s quincunx - LMSE Christchurch Centre

Estimating the Binomial probability p for a Galton’s Quincunx.

Galton’s Quincunx is a physical device designed to simulate the discrete binomial distribution. we aim to
create a physical model of the quincunx that is characterised by the probability of a ball going left is equal
to the probability of it going right. From the conceptual model of the quincunx, we derive the binomial
probability mass function. In order to evaluate the parameter of interest p, we will derive the maximum
likelihood estimator and use this to estimate the actual parameter p of our physical model using 100 samples
that are assumed to be independent and identically distributed.